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Finding the Fourth Proportional to 11,454, 17,188.68 and 4,158

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Solution

The fourth proportional to 11,454, 17,188.68 and 4,158 is: 6,239.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,454 : 17,188.68 = 4,158 : x
  2. Step 2: Convert to fraction form
    11,454/17,188.68 = 4,158/x
  3. Step 3: Cross multiply
    11,454x = 17,188.68 × 4,158
  4. Step 4: Simplify right side
    11,454x = 71,470,531.44
  5. Step 5: Solve for x
    x = 71,470,531.44/11,454
  6. Step 6: Final answer
    x = 6,239.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.